Details

sample256.0ms

Algorithm

intervals

Results

28.0ms	436×	body	80	valid
16.0ms	436×	pre	80	true

simplify7.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5046
6	4747
5	955
4	310
3	98
2	38
1	16
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`add-cube-cbrt`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 83

Calls

3 calls:

41.0ms	(* m (- 1.0 m))
32.0ms	(/ (* m (- 1.0 m)) v)
175.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series263.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(* m (- 1.0 m))
69.0ms	(/ (* m (- 1.0 m)) v)
97.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify2.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
2	1591
1	419
0	147

prune728.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.0b	(/ m (/ v (- 1.0 m)))
0.1b	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

rewrite685.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
118×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
20×	`difference-of-squares`
18×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`flip3--` `associate-/r/` `flip--`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 175

Calls

3 calls:

22.0ms	(/ v (- 1.0 m))
33.0ms	(/ m (/ v (- 1.0 m)))
611.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series207.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ v (- 1.0 m))
70.0ms	(/ m (/ v (- 1.0 m)))
66.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify4.6s

Counts

184 → 184

Iterations

Iter	Nodes
done	5001
2	2992
1	781
0	293

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ m v) (+ m 1.0))
0.1b	(* (* (/ m v) (+ m 1.0)) (- 1.0 m))
0.1b	(/ (* (* (/ m v) (+ m 1.0)) (- 1.0 m)) (+ 1.0 m))
0.1b	(* (- (/ (* (* (/ m v) (+ m 1.0)) (- 1.0 m)) (+ 1.0 m)) 1.0) (- 1.0 m))

rewrite946.0ms

Algorithm

rewrite-expression-head

Rules

38×	`frac-times`
34×	`add-exp-log` `add-cbrt-cube`
30×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
20×	`associate-*r/`
19×	`associate-l` `associate-*l/`
18×	`flip3--` `flip--`
17×	`add-cube-cbrt` `associate-/l/`
15×	`flip3-+` `flip-+`
14×	`times-frac` `associate-r`
13×	`pow1` `prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`sub-neg` `associate-/r*` `add-log-exp`
3×	`*-commutative` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`associate-/r/` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 162

Calls

4 calls:

56.0ms	(* (/ m v) (+ m 1.0))
115.0ms	(* (* (/ m v) (+ m 1.0)) (- 1.0 m))
143.0ms	(/ (* (* (/ m v) (+ m 1.0)) (- 1.0 m)) (+ 1.0 m))
618.0ms	(* (- (/ (* (* (/ m v) (+ m 1.0)) (- 1.0 m)) (+ 1.0 m)) 1.0) (- 1.0 m))

series426.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (/ m v) (+ m 1.0))
178.0ms	(* (* (/ m v) (+ m 1.0)) (- 1.0 m))
106.0ms	(/ (* (* (/ m v) (+ m 1.0)) (- 1.0 m)) (+ 1.0 m))
69.0ms	(* (- (/ (* (* (/ m v) (+ m 1.0)) (- 1.0 m)) (+ 1.0 m)) 1.0) (- 1.0 m))

simplify4.7s

Counts

174 → 174

Iterations

Iter	Nodes
done	5017
2	4558
1	946
0	269

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ m (/ v (+ 1.0 m)))
0.1b	(/ (* (/ m (/ v (+ 1.0 m))) (- 1.0 m)) (+ 1.0 m))
0.1b	(* (- (/ (* (/ m (/ v (+ 1.0 m))) (- 1.0 m)) (+ 1.0 m)) 1.0) (- 1.0 m))
0.1b	(* (/ m (/ v (+ 1.0 m))) (- 1.0 m))

rewrite741.0ms

Algorithm

rewrite-expression-head

Rules

199×	`times-frac`
155×	`*-un-lft-identity`
120×	`add-sqr-sqrt`
103×	`add-cube-cbrt`
64×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
23×	`distribute-lft-out`
22×	`associate-/r*`
18×	`associate-/r/`
13×	`cbrt-undiv` `div-exp`
10×	`flip3--` `associate-r` `flip--` `div-inv`
8×	`pow1` `frac-times` `flip3-+` `flip-+`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-*r/`
5×	`associate-/l/`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `associate-/l` `add-log-exp` `unswap-sqr`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`

Counts

4 → 249

Calls

4 calls:

33.0ms	(/ m (/ v (+ 1.0 m)))
72.0ms	(/ (* (/ m (/ v (+ 1.0 m))) (- 1.0 m)) (+ 1.0 m))
447.0ms	(* (- (/ (* (/ m (/ v (+ 1.0 m))) (- 1.0 m)) (+ 1.0 m)) 1.0) (- 1.0 m))
161.0ms	(* (/ m (/ v (+ 1.0 m))) (- 1.0 m))

series323.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ m (/ v (+ 1.0 m)))
74.0ms	(/ (* (/ m (/ v (+ 1.0 m))) (- 1.0 m)) (+ 1.0 m))
69.0ms	(* (- (/ (* (/ m (/ v (+ 1.0 m))) (- 1.0 m)) (+ 1.0 m)) 1.0) (- 1.0 m))
121.0ms	(* (/ m (/ v (+ 1.0 m))) (- 1.0 m))

simplify5.0s

Counts

261 → 261

Iterations

Iter	Nodes
done	5000
2	4809
1	1066
0	360

prune2.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes169.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s	13792×	body	80	valid
488.0ms	13792×	pre	80	true